Published September 2005
| Version v1
Journal article
β4 potential at the U(5)-O(6) critical point of the interacting boson model
- 1. Departamento de Fisica Aplicada, Universidad de Huelva, E-21071 Huelva (Spain)
- 2. Instituto de Estructura de la Materia, CSIC, Serrano 123, E-28006 Madrid (Spain)
- 3. Departamento de Fisica Atomica, Molecular y Nuclear, Facultad de Fisica, Universidad de Sevilla, Apartado 1065, E-41080 Sevilla (Spain)
Description
Exact numerical results of the interacting boson model Hamiltonian along the integrable line from U(5) to O(6) are obtained by diagonalization within boson seniority subspaces. The matrix Hamiltonian reduces to a block tridiagonal form that can be diagonalized for large number of bosons. We present results for the low-energy spectrum and the transition probabilities for systems up to 10,000 bosons, which confirm that at the critical point the system is equally well described by the Bohr Hamiltonian with a β4 potential
Additional details
Identifiers
- DOI
- 10.1103/PhysRevC.72.037301;
- arXiv
- arXiv:nucl-th/0507038v1;
Publishing Information
- Journal Title
- Physical Review. C, Nuclear Physics
- Journal Volume
- 72
- Journal Issue
- 3
- Journal Page Range
- p. 037301-037301.4
- ISSN
- 0556-2813
- CODEN
- PRVCAN
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37015021
- Subject category
- S73: NUCLEAR PHYSICS AND RADIATION PHYSICS;
- Descriptors DEI
- ENERGY SPECTRA; HAMILTONIANS; INTERACTING BOSON MODEL; O GROUPS; POTENTIALS; PROBABILITY; U GROUPS
- Descriptors DEC
- DYNAMICAL GROUPS; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NUCLEAR MODELS; QUANTUM OPERATORS; SHELL MODELS; SPECTRA; SYMMETRY GROUPS
Optional Information
- Notes
- (c) 2005 The American Physical Society